3 papers
math.AP2019
Incompressible limit for a two-species tumour model with coupling through Brinkman's law in one dimension
Tomasz Dębiec, Markus Schmidtchen
We present a two-species model with applications in tumour modelling. The main novelty is the coupling of both species through the so-called Brinkman law which is typically used in…
math.AP2018
Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation
Tomasz Dębiec, Marie Doumic, Piotr Gwiazda +1
The aim of this study is to generalise recent results of the two last authors on en-tropy methods for measure solutions of the renewal equation to other classes of structured popul…
math.AP2017
Conservation of energy for the Euler-Korteweg equations
Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +1
In this article we study the principle of energy conservation for the Euler-Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the…